Parity of Schur's partition function

被引：3

作者：

Chen, Shi-Chao ^{[1
]}

机构：

[1] Henan Univ, Sch Math & Stat, Inst Contemporary Math, Kaifeng 475004, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2019年 / 357卷 / 05期

关键词：

REPRESENTATIONS FUNCTION; NUMBER; VALUES;

D O I：

10.1016/j.crma.2019.05.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A(n) be the number of Schur's partitions of n, i.e. the number of partitions of n into distinct parts congruent to 1, 2 (mod 3). We prove x/(logx)(47/48) << #{0 <= n <= x : A (2n + 1) is odd} << x/(logx)(1/2). (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：418 / 423

页数：6

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